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Finding the Fourth Proportional to 24,214.76, 36,322.14 and 7,574.76

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Solution

The fourth proportional to 24,214.76, 36,322.14 and 7,574.76 is: 11,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.76 : 36,322.14 = 7,574.76 : x
  2. Step 2: Convert to fraction form
    24,214.76/36,322.14 = 7,574.76/x
  3. Step 3: Cross multiply
    24,214.76x = 36,322.14 × 7,574.76
  4. Step 4: Simplify right side
    24,214.76x = 275,131,493.19
  5. Step 5: Solve for x
    x = 275,131,493.19/24,214.76
  6. Step 6: Final answer
    x = 11,362.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.